Fractional powers of the wave operator via Dirichlet-to-Neumann maps in anti-de Sitter spaces

被引：5
作者：
Enciso, Alberto
del Mar Gonzalez, Maria
Vergara, Bruno
机构：
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2017年 / 273卷 / 06期
关键词：
Fractional wave operators; Nonlocal equations; Dirichlet-to-Neumann maps; Anti-de Sitter spaces; EXTENSION PROBLEM; CONFORMAL GEOMETRY; LAPLACIAN; CONSTANT; EQUATION;
D O I：
10.1016/j.jfa.2017.06.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the fractional wave operator, which is usually studied in the context of hypersingular integrals but had not yet appeared in mathematical physics, can be constructed as the Dirichlet-to-Neumann map associated with the Klein Gordon equation in anti-de Sitter spacetimes. Several generalizations of this relation will be discussed too. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：2144 / 2166
页数：23
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